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The ratio of ages of Abha and her mother is 2 : 5. At the time of Abha’s birth her mothers age was 27 years. Find the present ages of Abha and her mother.

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The ratio of ages of Abha and her mother is 2 : 5. 

Let the common multiple be x. 

∴ Present age of Abha = 2x years and Present age of Abha’s mother = 5x years 

According to the given condition, the age of Abha’s mother at the time of Abha’s birth = 27 years

∴ 5x – 2x = 27 

∴ 3x = 27 

∴ x = 9

∴ Present age of Abha = 2x = 2 x 9 = 18 years 

∴ Present age of Abha’s mother = 5x = 5 x 9 = 45 years 

The present ages of Abha and her mother are 18 years and 45 years respectively.

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